Question

Find the distance
(3,-5) (8,4)

Answer 1

To find the distance between the two points \((3, -5)\) and \((8, 4)\), you can use the distance formula:

\[
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]

Here, \((x_1, y_1) = (3, -5)\) and \((x_2, y_2) = (8, 4)\).

Now, plug in the values:

\[
d = \sqrt{(8 - 3)^2 + (4 - (-5))^2}
\]
\[
= \sqrt{(5)^2 + (4 + 5)^2}
\]
\[
= \sqrt{25 + (9)^2}
\]
\[
= \sqrt{25 + 81}
\]
\[
= \sqrt{106}
\]

Thus, the distance between the points \((3, -5)\) and \((8, 4)\) is \(\sqrt{106}\), which is approximately \(10.30\).